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O que (quem) é symplectic bundle - definição
Symplectic transformation; Symplectic operator
Symplectic geometry
BRANCH OF DIFFERENTIAL GEOMETRY AND DIFFERENTIAL TOPOLOGY
Symplectic Geometry; Symplectic structure; Symplectic topology
Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry was founded by the Russian mathematician Vladimir Arnold and has its origins in the Hamiltonian formulation of classical mechanics where the phase space of certain classical systems takes on the structure of a symplectic manifold.
Bundle of His
COLLECTION OF HEART MUSCLE CELLS SPECIALIZED FOR ELECTRICAL CONDUCTION
Atrioventricular bundle of His; Bundle of his; HIS bundle; HIS Bundle; Artioventricular bundle; AV bundle; Atrioventricular bundle; His' bundle; His-bundle pacing; Crus of heart; His bundle
The bundle of His (BH) or His bundle (HB) ( "hiss"Medical Terminology for Health Professions, Spiral bound Version. Cengage Learning; 2016.
Symplectic spinor bundle
ON A METAPLECTIC MANIFOLD, THE HILBERT SPACE BUNDLE ASSOCIATED TO THE METAPLECTIC STRUCTURE VIA THE METAPLECTIC REPRESENTATION
In differential geometry, given a metaplectic structure \pi_{\mathbf P}\colon{\mathbf P}\to M\, on a 2n-dimensional symplectic manifold (M, \omega),\, the symplectic spinor bundle is the Hilbert space bundle \pi_{\mathbf Q}\colon{\mathbf Q}\to M\, associated to the metaplectic structure via the metaplectic representation. The metaplectic representation of the metaplectic group — the two-fold covering of the symplectic group — gives rise to an infinite rank vector bundle; this is the symplectic spinor construction due to Bertram Kostant.
Wikipédia
Symplectic matrix
In mathematics, a symplectic matrix is a matrix with real entries that satisfies the condition
where denotes the transpose of and is a fixed nonsingular, skew-symmetric matrix. This definition can be extended to matrices with entries in other fields, such as the complex numbers, finite fields, p-adic numbers, and function fields.
Typically is chosen to be the block matrix
where is the identity matrix. The matrix has determinant and its inverse is .